What is the Least Common Multiple of 4129 and 4136?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 4129 and 4136 is 17077544.
LCM(4129,4136) = 17077544
Least Common Multiple of 4129 and 4136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4129 and 4136, than apply into the LCM equation.
GCF(4129,4136) = 1
LCM(4129,4136) = ( 4129 × 4136) / 1
LCM(4129,4136) = 17077544 / 1
LCM(4129,4136) = 17077544
Least Common Multiple (LCM) of 4129 and 4136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4129 and 4136. First we will calculate the prime factors of 4129 and 4136.
Prime Factorization of 4129
Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:
4129 = 41291
Prime Factorization of 4136
Prime factors of 4136 are 2, 11, 47. Prime factorization of 4136 in exponential form is:
4136 = 23 × 111 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 4129 and 4136.
LCM(4129,4136) = 41291 × 23 × 111 × 471
LCM(4129,4136) = 17077544
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